The speed of sound
That slope is the 'speed' of the motion. If the slope is changing, then the speed is changing. That's 'accelerated' motion. (It doesn't matter whether the speed is growing or shrinking. It's still 'accelerated' motion. 'Acceleration' does NOT mean 'speeding up'.)
The distance versus time graph shows the position of the object. The slope of the line shows the velocity of the object. The velocity is the direction and speed of an object. If your slope has a positive slant that means you are going in a positive direction. If the slope has a negative slant your object is going in a negative direction. If your slope is zero (a horizontal line) that means your object has stopped and is about to change directions. In case you didnt know a positive slant looks like this on a graph.... / a negative slant looks like this on a graph.... \ postive is like sloping up a hill negative is like falling down the hill
Yes. If the slope is positive, the direction of the displacement is positive (e.g. north, east, or right). If the slope is negative, the direction of the displacement is negative (e.g. south, west, or left).
If the position is graphed vs time, then the slope (rate of change of position with respect to time) will be the same (parallel).
No. It will tell you WHEN but not where.
it is impossible to tell the slope of a line graph without proper points to evaluate from.
The slope of each point on the line on the graph is the rate of change at that point. If the graph is a straight line, then its slope is constant. If the graph is a curved line, then its slope changes.
velocity
the rate of change on the line.
nothing that will help you in life
If the line slants up and to the right, it has a positive slope. If it is slanting up and to the left, it has a negative slope.
That slope is the 'speed' of the motion. If the slope is changing, then the speed is changing. That's 'accelerated' motion. (It doesn't matter whether the speed is growing or shrinking. It's still 'accelerated' motion. 'Acceleration' does NOT mean 'speeding up'.)
The slope will tell you how much change of Y to X >.
The slope will tell you how much change of Y to X >.
The slope will tell you how much change of Y to X >.
The slope will tell you how much change of Y to X >.
1. You can tell the difference because the proportional one has the same slope while the inversely one has opposite reciprocal slope.